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zubka84 [21]
3 years ago
8

For the function y = -10x find the matching y-value when x = 3​

Mathematics
2 answers:
alexgriva [62]3 years ago
7 0

Answer:

-30

Step-by-step explanation:

y = -10x is a function that can also be represented by f(x)  = -10x.  We are to evaluate this function at x = 3.  To do this, replace both instances of x in this function by 3 and simplify the result:

f(3) =   -10(3) = -30

Alchen [17]3 years ago
6 0

Answer:

y= -30

Step-by-step explanation:

THis is because you substitue 3  for X and then multiply -10 and 3 and a negative times a positive is a negative so -10 times 3 is -30

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These two triangles are congruent by the Hypotenuse-Leg Theorem.
Softa [21]

Answer:

y = - 2

Step-by-step explanation:

Given that the 2 triangles are congruent based on the Hypotenuse-leg theorem, this implies that:

x - y = x + 2 , and 2x - y = 4x + 2y

Using the expression, x - y = x + 2, solve for y:

x - y - x = x + 2 - x

- y = 2

y = - 2

3 0
3 years ago
An iceberg has a volume of 7685 cubic feet. What is the mass of the ice (in kg) composing the iceberg?
Ksju [112]

Volume of an iceberg = 7685 cubic feet

Since, density of ice = 0.917 g/cm^3

We have to determine the mass of the ice.

Since density = mass \times volume

Since the unit of density is in g/cm^3, first we will convert the density unit in kilogram.

Since, 1 kilogram = 1000 gram

Therefore, density = \frac{0.917}{1000} kg/cm^3

= 0.000917 kg/cm^3

Since, the density unit is in cubic centimeter. We will convert it into cubic feet.

1 cubic centimeter = 0.00003531466 cubic feet

Therefore, 0.000917  kg/cm^3 = 0.000917 x 0.00003531466

= 0.0000000323 kg/ft^3.

Now, mass = density \times volume

= 0.0000000323 \times 7685

= 0.000248

=0.00025 kg.

Therefore, the mass of ice is 0.00025 kg.

7 0
4 years ago
Read 2 more answers
Jack works at a party supply store. He sold 846 balloons in the last 18 days. What was his selling rate in balloons per day?
ser-zykov [4K]

Answer:

B

Step-by-step explanation:

Make a proportion.

x is the number of balloons sold each day.

x=\frac{846}{18} \\ \\ x=47

4 0
3 years ago
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Let's say you have 6 lbs of apples for $12.96. What is the unit price? (Meaning, what is the cost of 1 pound of apples?)​
lara [203]

Answer:

$2.16 per pound

Step-by-step explanation:

First, you would need to divide the price by the amount

$12.96 / 6 lbs = $2.16 per pound

That is the unit price

7 0
3 years ago
In a particular flow network G = (V,E) with integer edge capacities ce, we have already found the maximum s-t flow. However, we
yulyashka [42]

Answer:

Check the explanation

Step-by-step explanation:

1) Algorithm for finding the new optimal flux: 1. Let E' be the edges eh E for which f(e)>O, and let G = (V,E). Find in Gi a path Pi from s to u and a path P_1, from v to t.  

2) [Special case: If P_1, and P_2 have some edge e in common, then Piu[(u,v)}uPx has a directed cycle containing (u,v). In this instance, the flow along this cycle can be reduced by a single unit without any need to change the size of the overall flow. Return the resulting flow.]

3) Reduce flow by one unit along P_1U{(u,v)}UP_2

4) Run Ford-Fulkerson with this sterling flow.

Justification and running time: Say the original flow has see F. Lees ignore the special case (4 After step (3) Of the elgorithuk we have a legal flaw that satisfies the new capacity constraint and has see F-1. Step (4). FOrd-Fueerson, then gives us the optimal flow under the new cePacie co mint. However. we know this flow is at most F, end thus Ford-Fulkerson runs for just one iteration. Since each of the steps is linear, the total running time is linear, that is, O(lVl + lEl).

4 0
3 years ago
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